各向同性压缩过程中圆盘体系的基本性质

结合理论分析与数值模拟研究仅有线性排斥力的二维无序圆盘体系在准静态各向同性压缩过程中的基本性质.引入平均约化重叠量、约化压强等概念，基于微观的力学分析，导出约化压强与体系的组成成分、几何统计量及形变统计量之间的关系.基于数值模拟结果，讨论平均接触数增量、各种接触类型的百分比、平均约化重叠量、约化压强等物理量在大范围压缩的过程中随体积分数增量的变化，给出一个形式简洁的近似约化压强公式.模拟结果表明圆盘体系在远离临界阻塞态及接近临界阻塞态时的压缩响应不同.

Basic Properties of Two-dimensional Disk System Under Isotropic Compression

Theoretical analysis and numerical simulation are conducted to investigate basic properties of two-dimensional disordered disk system under quasi-static isotropic compression. Some basic concepts such as average reduced overlap, reduced pressure are introduced. Via micromechanics analysis, we deduce functional relation between reduced pressure and statistical quantities of disk system. Based on numerical simulation, variations of physical quantities such as excess average contact number, average reduced overlap, reduced pressure with excess volume fraction are studied. An approximate formula of reduced pressure is presented. These simulation results show that mechanical responses of compression are different as disk system is far from or near critical jammed state.